Search a number
-
+
13345641 = 34376173
BaseRepresentation
bin110010111010…
…001101101001
3221010000210000
4302322031221
511404030031
61154013213
7221302401
oct62721551
927100700
1013345641
117595861
124577209
1329c363a
141ab5801
1512893e6
hexcba369

13345641 has 40 divisors (see below), whose sum is σ = 21095624. Its totient is φ = 8398080.

The previous prime is 13345621. The next prime is 13345643. The reversal of 13345641 is 14654331.

13345641 is a `hidden beast` number, since 13 + 3 + 4 + 5 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1587600 + 11758041 = 1260^2 + 3429^2 .

It is not a de Polignac number, because 13345641 - 27 = 13345513 is a prime.

It is a super-2 number, since 2×133456412 = 356212267401762, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13345643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 182781 + ... + 182853.

Almost surely, 213345641 is an apocalyptic number.

It is an amenable number.

13345641 is a deficient number, since it is larger than the sum of its proper divisors (7749983).

13345641 is an equidigital number, since it uses as much as digits as its factorization.

13345641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 174 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 13345641 is about 3653.1686246326. The cubic root of 13345641 is about 237.1991596231.

Adding to 13345641 its reverse (14654331), we get a palindrome (27999972).

The spelling of 13345641 in words is "thirteen million, three hundred forty-five thousand, six hundred forty-one".

Divisors: 1 3 9 27 37 61 73 81 111 183 219 333 549 657 999 1647 1971 2257 2701 2997 4453 4941 5913 6771 8103 13359 20313 24309 40077 60939 72927 120231 164761 182817 218781 360693 494283 1482849 4448547 13345641